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Simplifying 3(y + -5) + 10 = 2(y + 4) Reorder the terms: 3(-5 + y) + 10 = 2(y + 4) (-5 * 3 + y * 3) + 10 = 2(y + 4) (-15 + 3y) + 10 = 2(y + 4) Reorder the terms: -15 + 10 + 3y = 2(y + 4) Combine like terms: -15 + 10 = -5 -5 + 3y = 2(y + 4) Reorder the terms: -5 + 3y = 2(4 + y) -5 + 3y = (4 * 2 + y * 2) -5 + 3y = (8 + 2y) Solving -5 + 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. -5 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y -5 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + 1y = 8 + 0 -5 + 1y = 8 Add '5' to each side of the equation. -5 + 5 + 1y = 8 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = 8 + 5 1y = 8 + 5 Combine like terms: 8 + 5 = 13 1y = 13 Divide each side by '1'. y = 13 Simplifying y = 13
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