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Simplifying -4(4y + -8) + -1y = -2(y + -4) Reorder the terms: -4(-8 + 4y) + -1y = -2(y + -4) (-8 * -4 + 4y * -4) + -1y = -2(y + -4) (32 + -16y) + -1y = -2(y + -4) Combine like terms: -16y + -1y = -17y 32 + -17y = -2(y + -4) Reorder the terms: 32 + -17y = -2(-4 + y) 32 + -17y = (-4 * -2 + y * -2) 32 + -17y = (8 + -2y) Solving 32 + -17y = 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. 32 + -17y + 2y = 8 + -2y + 2y Combine like terms: -17y + 2y = -15y 32 + -15y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + -15y = 8 + 0 32 + -15y = 8 Add '-32' to each side of the equation. 32 + -32 + -15y = 8 + -32 Combine like terms: 32 + -32 = 0 0 + -15y = 8 + -32 -15y = 8 + -32 Combine like terms: 8 + -32 = -24 -15y = -24 Divide each side by '-15'. y = 1.6 Simplifying y = 1.6
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