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Simplifying -4(-8y + 9) + -9y = 7(y + -2) + -4 Reorder the terms: -4(9 + -8y) + -9y = 7(y + -2) + -4 (9 * -4 + -8y * -4) + -9y = 7(y + -2) + -4 (-36 + 32y) + -9y = 7(y + -2) + -4 Combine like terms: 32y + -9y = 23y -36 + 23y = 7(y + -2) + -4 Reorder the terms: -36 + 23y = 7(-2 + y) + -4 -36 + 23y = (-2 * 7 + y * 7) + -4 -36 + 23y = (-14 + 7y) + -4 Reorder the terms: -36 + 23y = -14 + -4 + 7y Combine like terms: -14 + -4 = -18 -36 + 23y = -18 + 7y Solving -36 + 23y = -18 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -36 + 23y + -7y = -18 + 7y + -7y Combine like terms: 23y + -7y = 16y -36 + 16y = -18 + 7y + -7y Combine like terms: 7y + -7y = 0 -36 + 16y = -18 + 0 -36 + 16y = -18 Add '36' to each side of the equation. -36 + 36 + 16y = -18 + 36 Combine like terms: -36 + 36 = 0 0 + 16y = -18 + 36 16y = -18 + 36 Combine like terms: -18 + 36 = 18 16y = 18 Divide each side by '16'. y = 1.125 Simplifying y = 1.125
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