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Simplifying 7y + -2(-1y + -9) = -8(-4y + -7) Reorder the terms: 7y + -2(-9 + -1y) = -8(-4y + -7) 7y + (-9 * -2 + -1y * -2) = -8(-4y + -7) 7y + (18 + 2y) = -8(-4y + -7) Reorder the terms: 18 + 7y + 2y = -8(-4y + -7) Combine like terms: 7y + 2y = 9y 18 + 9y = -8(-4y + -7) Reorder the terms: 18 + 9y = -8(-7 + -4y) 18 + 9y = (-7 * -8 + -4y * -8) 18 + 9y = (56 + 32y) Solving 18 + 9y = 56 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 18 + 9y + -32y = 56 + 32y + -32y Combine like terms: 9y + -32y = -23y 18 + -23y = 56 + 32y + -32y Combine like terms: 32y + -32y = 0 18 + -23y = 56 + 0 18 + -23y = 56 Add '-18' to each side of the equation. 18 + -18 + -23y = 56 + -18 Combine like terms: 18 + -18 = 0 0 + -23y = 56 + -18 -23y = 56 + -18 Combine like terms: 56 + -18 = 38 -23y = 38 Divide each side by '-23'. y = -1.652173913 Simplifying y = -1.652173913
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