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Simplifying -7 = -5y + 4(-1y * 9) + -7(7 + 3y) Reorder the terms for easier multiplication: -7 = -5y + 4(-1 * 9y) + -7(7 + 3y) Multiply -1 * 9 -7 = -5y + 4(-9y) + -7(7 + 3y) Remove parenthesis around (-9y) -7 = -5y + 4 * -9y + -7(7 + 3y) Multiply 4 * -9 -7 = -5y + -36y + -7(7 + 3y) -7 = -5y + -36y + (7 * -7 + 3y * -7) -7 = -5y + -36y + (-49 + -21y) Reorder the terms: -7 = -49 + -5y + -36y + -21y Combine like terms: -5y + -36y = -41y -7 = -49 + -41y + -21y Combine like terms: -41y + -21y = -62y -7 = -49 + -62y Solving -7 = -49 + -62y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '62y' to each side of the equation. -7 + 62y = -49 + -62y + 62y Combine like terms: -62y + 62y = 0 -7 + 62y = -49 + 0 -7 + 62y = -49 Add '7' to each side of the equation. -7 + 7 + 62y = -49 + 7 Combine like terms: -7 + 7 = 0 0 + 62y = -49 + 7 62y = -49 + 7 Combine like terms: -49 + 7 = -42 62y = -42 Divide each side by '62'. y = -0.6774193548 Simplifying y = -0.6774193548
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