5(2y+7)-0(8-21y)=4(5y+3)-6y+3y=

To solve the equation \( 5(2y+7) - 0(8-21y) = 4(5y+3) - 6y + 3y \), we will simplify both sides step by step. Starting with the left side: 1. Simplify \( 5(2y + 7) \): \[ 5 \cdot 2y + 5 \cdot 7 = 10y + 35 \] 2. For the second term, since \( 0(8 - 21y) = 0 \), it does not contribute to the equation. So, the left side simplifies to: \[ 10y + 35 \] Now, simplify the right side: 1. Simplify \( 4(5y + 3) \): \[ 4 \cdot 5y + 4 \cdot 3 = 20y + 12 \] 2. Combine the terms on the right side: \[ 20y + 12 - 6y + 3y = 20y - 6y + 3y + 12 = 17y + 12 \] Now we have the simplified equation: \[ 10y + 35 = 17y + 12 \] Next, let's solve for \( y \): 1. Subtract \( 10y \) from both sides: \[ 35 = 17y - 10y + 12 \] \[ 35 = 7y + 12 \] 2. Subtract 12 from both sides: \[ 35 - 12 = 7y \] \[ 23 = 7y \] 3. Divide by 7: \[ y = \frac{23}{7} \] Thus, the solution is: \[ y = \frac{23}{7} \]