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Simplifying 5y + 7 = 2(y + -4) Reorder the terms: 7 + 5y = 2(y + -4) Reorder the terms: 7 + 5y = 2(-4 + y) 7 + 5y = (-4 * 2 + y * 2) 7 + 5y = (-8 + 2y) Solving 7 + 5y = -8 + 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 + 5y + -2y = -8 + 2y + -2y Combine like terms: 5y + -2y = 3y 7 + 3y = -8 + 2y + -2y Combine like terms: 2y + -2y = 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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