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Simplifying 4(2y + -3) = -3y + 32 Reorder the terms: 4(-3 + 2y) = -3y + 32 (-3 * 4 + 2y * 4) = -3y + 32 (-12 + 8y) = -3y + 32 Reorder the terms: -12 + 8y = 32 + -3y Solving -12 + 8y = 32 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -12 + 8y + 3y = 32 + -3y + 3y Combine like terms: 8y + 3y = 11y -12 + 11y = 32 + -3y + 3y Combine like terms: -3y + 3y = 0 -12 + 11y = 32 + 0 -12 + 11y = 32 Add '12' to each side of the equation. -12 + 12 + 11y = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 11y = 32 + 12 11y = 32 + 12 Combine like terms: 32 + 12 = 44 11y = 44 Divide each side by '11'. y = 4 Simplifying y = 4
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