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Simplifying -7 = -5y + 4(-1y + 9) + -7 + 3y Reorder the terms: -7 = -5y + 4(9 + -1y) + -7 + 3y -7 = -5y + (9 * 4 + -1y * 4) + -7 + 3y -7 = -5y + (36 + -4y) + -7 + 3y Reorder the terms: -7 = 36 + -7 + -5y + -4y + 3y Combine like terms: 36 + -7 = 29 -7 = 29 + -5y + -4y + 3y Combine like terms: -5y + -4y = -9y -7 = 29 + -9y + 3y Combine like terms: -9y + 3y = -6y -7 = 29 + -6y Solving -7 = 29 + -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. -7 + 6y = 29 + -6y + 6y Combine like terms: -6y + 6y = 0 -7 + 6y = 29 + 0 -7 + 6y = 29 Add '7' to each side of the equation. -7 + 7 + 6y = 29 + 7 Combine like terms: -7 + 7 = 0 0 + 6y = 29 + 7 6y = 29 + 7 Combine like terms: 29 + 7 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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