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Simplifying -5y + -29 = -3(y + 7) Reorder the terms: -29 + -5y = -3(y + 7) Reorder the terms: -29 + -5y = -3(7 + y) -29 + -5y = (7 * -3 + y * -3) -29 + -5y = (-21 + -3y) Solving -29 + -5y = -21 + -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. -29 + -5y + 3y = -21 + -3y + 3y Combine like terms: -5y + 3y = -2y -29 + -2y = -21 + -3y + 3y Combine like terms: -3y + 3y = 0 -29 + -2y = -21 + 0 -29 + -2y = -21 Add '29' to each side of the equation. -29 + 29 + -2y = -21 + 29 Combine like terms: -29 + 29 = 0 0 + -2y = -21 + 29 -2y = -21 + 29 Combine like terms: -21 + 29 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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