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Simplifying -4(4y + -9) + -1y = 2y(-4) Reorder the terms: -4(-9 + 4y) + -1y = 2y(-4) (-9 * -4 + 4y * -4) + -1y = 2y(-4) (36 + -16y) + -1y = 2y(-4) Combine like terms: -16y + -1y = -17y 36 + -17y = 2y(-4) Reorder the terms for easier multiplication: 36 + -17y = 2 * -4y Multiply 2 * -4 36 + -17y = -8y Solving 36 + -17y = -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 36 + -17y + 8y = -8y + 8y Combine like terms: -17y + 8y = -9y 36 + -9y = -8y + 8y Combine like terms: -8y + 8y = 0 36 + -9y = 0 Add '-36' to each side of the equation. 36 + -36 + -9y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -9y = 0 + -36 -9y = 0 + -36 Combine like terms: 0 + -36 = -36 -9y = -36 Divide each side by '-9'. y = 4 Simplifying y = 4
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