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