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Simplifying 2(y + -2) + -3 = 3(y + -5) Reorder the terms: 2(-2 + y) + -3 = 3(y + -5) (-2 * 2 + y * 2) + -3 = 3(y + -5) (-4 + 2y) + -3 = 3(y + -5) Reorder the terms: -4 + -3 + 2y = 3(y + -5) Combine like terms: -4 + -3 = -7 -7 + 2y = 3(y + -5) Reorder the terms: -7 + 2y = 3(-5 + y) -7 + 2y = (-5 * 3 + y * 3) -7 + 2y = (-15 + 3y) Solving -7 + 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. -7 + 2y + -3y = -15 + 3y + -3y Combine like terms: 2y + -3y = -1y -7 + -1y = -15 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + -1y = -15 + 0 -7 + -1y = -15 Add '7' to each side of the equation. -7 + 7 + -1y = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -15 + 7 -1y = -15 + 7 Combine like terms: -15 + 7 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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