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Simplifying 4(y + -1) + 7y + -3 = 32 + -2y Reorder the terms: 4(-1 + y) + 7y + -3 = 32 + -2y (-1 * 4 + y * 4) + 7y + -3 = 32 + -2y (-4 + 4y) + 7y + -3 = 32 + -2y Reorder the terms: -4 + -3 + 4y + 7y = 32 + -2y Combine like terms: -4 + -3 = -7 -7 + 4y + 7y = 32 + -2y Combine like terms: 4y + 7y = 11y -7 + 11y = 32 + -2y Solving -7 + 11y = 32 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -7 + 11y + 2y = 32 + -2y + 2y Combine like terms: 11y + 2y = 13y -7 + 13y = 32 + -2y + 2y Combine like terms: -2y + 2y = 0 -7 + 13y = 32 + 0 -7 + 13y = 32 Add '7' to each side of the equation. -7 + 7 + 13y = 32 + 7 Combine like terms: -7 + 7 = 0 0 + 13y = 32 + 7 13y = 32 + 7 Combine like terms: 32 + 7 = 39 13y = 39 Divide each side by '13'. y = 3 Simplifying y = 3
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