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Simplifying 3(y + -8) + -4 = -5(-4y + 2) + -1y Reorder the terms: 3(-8 + y) + -4 = -5(-4y + 2) + -1y (-8 * 3 + y * 3) + -4 = -5(-4y + 2) + -1y (-24 + 3y) + -4 = -5(-4y + 2) + -1y Reorder the terms: -24 + -4 + 3y = -5(-4y + 2) + -1y Combine like terms: -24 + -4 = -28 -28 + 3y = -5(-4y + 2) + -1y Reorder the terms: -28 + 3y = -5(2 + -4y) + -1y -28 + 3y = (2 * -5 + -4y * -5) + -1y -28 + 3y = (-10 + 20y) + -1y Combine like terms: 20y + -1y = 19y -28 + 3y = -10 + 19y Solving -28 + 3y = -10 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -28 + 3y + -19y = -10 + 19y + -19y Combine like terms: 3y + -19y = -16y -28 + -16y = -10 + 19y + -19y Combine like terms: 19y + -19y = 0 -28 + -16y = -10 + 0 -28 + -16y = -10 Add '28' to each side of the equation. -28 + 28 + -16y = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -16y = -10 + 28 -16y = -10 + 28 Combine like terms: -10 + 28 = 18 -16y = 18 Divide each side by '-16'. y = -1.125 Simplifying y = -1.125
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