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Simplifying -5y + 35 = 4(y + -7) Reorder the terms: 35 + -5y = 4(y + -7) Reorder the terms: 35 + -5y = 4(-7 + y) 35 + -5y = (-7 * 4 + y * 4) 35 + -5y = (-28 + 4y) Solving 35 + -5y = -28 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 35 + -5y + -4y = -28 + 4y + -4y Combine like terms: -5y + -4y = -9y 35 + -9y = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 35 + -9y = -28 + 0 35 + -9y = -28 Add '-35' to each side of the equation. 35 + -35 + -9y = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -9y = -28 + -35 -9y = -28 + -35 Combine like terms: -28 + -35 = -63 -9y = -63 Divide each side by '-9'. y = 7 Simplifying y = 7
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