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