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Simplifying 2(y + -3) + -5 = 3(y + -8) Reorder the terms: 2(-3 + y) + -5 = 3(y + -8) (-3 * 2 + y * 2) + -5 = 3(y + -8) (-6 + 2y) + -5 = 3(y + -8) Reorder the terms: -6 + -5 + 2y = 3(y + -8) Combine like terms: -6 + -5 = -11 -11 + 2y = 3(y + -8) Reorder the terms: -11 + 2y = 3(-8 + y) -11 + 2y = (-8 * 3 + y * 3) -11 + 2y = (-24 + 3y) Solving -11 + 2y = -24 + 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. -11 + 2y + -3y = -24 + 3y + -3y Combine like terms: 2y + -3y = -1y -11 + -1y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -11 + -1y = -24 + 0 -11 + -1y = -24 Add '11' to each side of the equation. -11 + 11 + -1y = -24 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = -24 + 11 -1y = -24 + 11 Combine like terms: -24 + 11 = -13 -1y = -13 Divide each side by '-1'. y = 13 Simplifying y = 13
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