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