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Simplifying -5y + 6(5y + -9) = -7 + 3(-4 + -1y) Reorder the terms: -5y + 6(-9 + 5y) = -7 + 3(-4 + -1y) -5y + (-9 * 6 + 5y * 6) = -7 + 3(-4 + -1y) -5y + (-54 + 30y) = -7 + 3(-4 + -1y) Reorder the terms: -54 + -5y + 30y = -7 + 3(-4 + -1y) Combine like terms: -5y + 30y = 25y -54 + 25y = -7 + 3(-4 + -1y) -54 + 25y = -7 + (-4 * 3 + -1y * 3) -54 + 25y = -7 + (-12 + -3y) Combine like terms: -7 + -12 = -19 -54 + 25y = -19 + -3y Solving -54 + 25y = -19 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -54 + 25y + 3y = -19 + -3y + 3y Combine like terms: 25y + 3y = 28y -54 + 28y = -19 + -3y + 3y Combine like terms: -3y + 3y = 0 -54 + 28y = -19 + 0 -54 + 28y = -19 Add '54' to each side of the equation. -54 + 54 + 28y = -19 + 54 Combine like terms: -54 + 54 = 0 0 + 28y = -19 + 54 28y = -19 + 54 Combine like terms: -19 + 54 = 35 28y = 35 Divide each side by '28'. y = 1.25 Simplifying y = 1.25
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