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Simplifying 3(y + -5) + -2(2y + 1) = 10 + 4y + -2y + -10 + -2y Reorder the terms: 3(-5 + y) + -2(2y + 1) = 10 + 4y + -2y + -10 + -2y (-5 * 3 + y * 3) + -2(2y + 1) = 10 + 4y + -2y + -10 + -2y (-15 + 3y) + -2(2y + 1) = 10 + 4y + -2y + -10 + -2y Reorder the terms: -15 + 3y + -2(1 + 2y) = 10 + 4y + -2y + -10 + -2y -15 + 3y + (1 * -2 + 2y * -2) = 10 + 4y + -2y + -10 + -2y -15 + 3y + (-2 + -4y) = 10 + 4y + -2y + -10 + -2y Reorder the terms: -15 + -2 + 3y + -4y = 10 + 4y + -2y + -10 + -2y Combine like terms: -15 + -2 = -17 -17 + 3y + -4y = 10 + 4y + -2y + -10 + -2y Combine like terms: 3y + -4y = -1y -17 + -1y = 10 + 4y + -2y + -10 + -2y Reorder the terms: -17 + -1y = 10 + -10 + 4y + -2y + -2y Combine like terms: 10 + -10 = 0 -17 + -1y = 0 + 4y + -2y + -2y -17 + -1y = 4y + -2y + -2y Combine like terms: 4y + -2y = 2y -17 + -1y = 2y + -2y Combine like terms: 2y + -2y = 0 -17 + -1y = 0 Solving -17 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1y = 0 + 17 -1y = 0 + 17 Combine like terms: 0 + 17 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17
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