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Simplifying -5y + 7 = -4(2y + 2) Reorder the terms: 7 + -5y = -4(2y + 2) Reorder the terms: 7 + -5y = -4(2 + 2y) 7 + -5y = (2 * -4 + 2y * -4) 7 + -5y = (-8 + -8y) Solving 7 + -5y = -8 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 7 + -5y + 8y = -8 + -8y + 8y Combine like terms: -5y + 8y = 3y 7 + 3y = -8 + -8y + 8y Combine like terms: -8y + 8y = 0 7 + 3y = -8 + 0 7 + 3y = -8 Add '-7' to each side of the equation. 7 + -7 + 3y = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = -8 + -7 3y = -8 + -7 Combine like terms: -8 + -7 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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