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Simplifying -16(2y + 15) = -12(2y + -10) Reorder the terms: -16(15 + 2y) = -12(2y + -10) (15 * -16 + 2y * -16) = -12(2y + -10) (-240 + -32y) = -12(2y + -10) Reorder the terms: -240 + -32y = -12(-10 + 2y) -240 + -32y = (-10 * -12 + 2y * -12) -240 + -32y = (120 + -24y) Solving -240 + -32y = 120 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -240 + -32y + 24y = 120 + -24y + 24y Combine like terms: -32y + 24y = -8y -240 + -8y = 120 + -24y + 24y Combine like terms: -24y + 24y = 0 -240 + -8y = 120 + 0 -240 + -8y = 120 Add '240' to each side of the equation. -240 + 240 + -8y = 120 + 240 Combine like terms: -240 + 240 = 0 0 + -8y = 120 + 240 -8y = 120 + 240 Combine like terms: 120 + 240 = 360 -8y = 360 Divide each side by '-8'. y = -45 Simplifying y = -45
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