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Simplifying 4(y + -2) + -5(y + -3) = 7y + -7(y + -1) Reorder the terms: 4(-2 + y) + -5(y + -3) = 7y + -7(y + -1) (-2 * 4 + y * 4) + -5(y + -3) = 7y + -7(y + -1) (-8 + 4y) + -5(y + -3) = 7y + -7(y + -1) Reorder the terms: -8 + 4y + -5(-3 + y) = 7y + -7(y + -1) -8 + 4y + (-3 * -5 + y * -5) = 7y + -7(y + -1) -8 + 4y + (15 + -5y) = 7y + -7(y + -1) Reorder the terms: -8 + 15 + 4y + -5y = 7y + -7(y + -1) Combine like terms: -8 + 15 = 7 7 + 4y + -5y = 7y + -7(y + -1) Combine like terms: 4y + -5y = -1y 7 + -1y = 7y + -7(y + -1) Reorder the terms: 7 + -1y = 7y + -7(-1 + y) 7 + -1y = 7y + (-1 * -7 + y * -7) 7 + -1y = 7y + (7 + -7y) Reorder the terms: 7 + -1y = 7 + 7y + -7y Combine like terms: 7y + -7y = 0 7 + -1y = 7 + 0 7 + -1y = 7 Add '-7' to each side of the equation. 7 + -7 + -1y = 7 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 7 + -7 -1y = 7 + -7 Combine like terms: 7 + -7 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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