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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 for easier multiplication: 7 + -9y = 7 + 2(3 * 6y) Multiply 3 * 6 7 + -9y = 7 + 2(18y) Remove parenthesis around (18y) 7 + -9y = 7 + 2 * 18y Multiply 2 * 18 7 + -9y = 7 + 36y Add '-7' to each side of the equation. 7 + -7 + -9y = 7 + -7 + 36y Combine like terms: 7 + -7 = 0 0 + -9y = 7 + -7 + 36y -9y = 7 + -7 + 36y Combine like terms: 7 + -7 = 0 -9y = 0 + 36y -9y = 36y Solving -9y = 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. -9y + -36y = 36y + -36y Combine like terms: -9y + -36y = -45y -45y = 36y + -36y Combine like terms: 36y + -36y = 0 -45y = 0 Divide each side by '-45'. y = 0 Simplifying y = 0
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