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Simplifying 4(y + -9) * 32 = 6y + -24 Reorder the terms: 4(-9 + y) * 32 = 6y + -24 Reorder the terms for easier multiplication: 4 * 32(-9 + y) = 6y + -24 Multiply 4 * 32 128(-9 + y) = 6y + -24 (-9 * 128 + y * 128) = 6y + -24 (-1152 + 128y) = 6y + -24 Reorder the terms: -1152 + 128y = -24 + 6y Solving -1152 + 128y = -24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -1152 + 128y + -6y = -24 + 6y + -6y Combine like terms: 128y + -6y = 122y -1152 + 122y = -24 + 6y + -6y Combine like terms: 6y + -6y = 0 -1152 + 122y = -24 + 0 -1152 + 122y = -24 Add '1152' to each side of the equation. -1152 + 1152 + 122y = -24 + 1152 Combine like terms: -1152 + 1152 = 0 0 + 122y = -24 + 1152 122y = -24 + 1152 Combine like terms: -24 + 1152 = 1128 122y = 1128 Divide each side by '122'. y = 9.245901639 Simplifying y = 9.245901639
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