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Simplifying -7(2y + -1) + 5y = 7 + 2(3y + -6) Reorder the terms: -7(-1 + 2y) + 5y = 7 + 2(3y + -6) (-1 * -7 + 2y * -7) + 5y = 7 + 2(3y + -6) (7 + -14y) + 5y = 7 + 2(3y + -6) Combine like terms: -14y + 5y = -9y 7 + -9y = 7 + 2(3y + -6) Reorder the terms: 7 + -9y = 7 + 2(-6 + 3y) 7 + -9y = 7 + (-6 * 2 + 3y * 2) 7 + -9y = 7 + (-12 + 6y) Combine like terms: 7 + -12 = -5 7 + -9y = -5 + 6y Solving 7 + -9y = -5 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 7 + -9y + -6y = -5 + 6y + -6y Combine like terms: -9y + -6y = -15y 7 + -15y = -5 + 6y + -6y Combine like terms: 6y + -6y = 0 7 + -15y = -5 + 0 7 + -15y = -5 Add '-7' to each side of the equation. 7 + -7 + -15y = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -15y = -5 + -7 -15y = -5 + -7 Combine like terms: -5 + -7 = -12 -15y = -12 Divide each side by '-15'. y = 0.8 Simplifying y = 0.8
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