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Simplifying -5(2y + -6) + 2y = 7(y + 6) Reorder the terms: -5(-6 + 2y) + 2y = 7(y + 6) (-6 * -5 + 2y * -5) + 2y = 7(y + 6) (30 + -10y) + 2y = 7(y + 6) Combine like terms: -10y + 2y = -8y 30 + -8y = 7(y + 6) Reorder the terms: 30 + -8y = 7(6 + y) 30 + -8y = (6 * 7 + y * 7) 30 + -8y = (42 + 7y) Solving 30 + -8y = 42 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 30 + -8y + -7y = 42 + 7y + -7y Combine like terms: -8y + -7y = -15y 30 + -15y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 30 + -15y = 42 + 0 30 + -15y = 42 Add '-30' to each side of the equation. 30 + -30 + -15y = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -15y = 42 + -30 -15y = 42 + -30 Combine like terms: 42 + -30 = 12 -15y = 12 Divide each side by '-15'. y = -0.8 Simplifying y = -0.8
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