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Simplifying 3(y + -5) + -1(4y + -8) = -2y + 10 Reorder the terms: 3(-5 + y) + -1(4y + -8) = -2y + 10 (-5 * 3 + y * 3) + -1(4y + -8) = -2y + 10 (-15 + 3y) + -1(4y + -8) = -2y + 10 Reorder the terms: -15 + 3y + -1(-8 + 4y) = -2y + 10 -15 + 3y + (-8 * -1 + 4y * -1) = -2y + 10 -15 + 3y + (8 + -4y) = -2y + 10 Reorder the terms: -15 + 8 + 3y + -4y = -2y + 10 Combine like terms: -15 + 8 = -7 -7 + 3y + -4y = -2y + 10 Combine like terms: 3y + -4y = -1y -7 + -1y = -2y + 10 Reorder the terms: -7 + -1y = 10 + -2y Solving -7 + -1y = 10 + -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. -7 + -1y + 2y = 10 + -2y + 2y Combine like terms: -1y + 2y = 1y -7 + 1y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 1y = 10 + 0 -7 + 1y = 10 Add '7' to each side of the equation. -7 + 7 + 1y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 10 + 7 1y = 10 + 7 Combine like terms: 10 + 7 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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