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Simplifying -3(-5y + 1) + -5y = 2(y + -1) + -7 Reorder the terms: -3(1 + -5y) + -5y = 2(y + -1) + -7 (1 * -3 + -5y * -3) + -5y = 2(y + -1) + -7 (-3 + 15y) + -5y = 2(y + -1) + -7 Combine like terms: 15y + -5y = 10y -3 + 10y = 2(y + -1) + -7 Reorder the terms: -3 + 10y = 2(-1 + y) + -7 -3 + 10y = (-1 * 2 + y * 2) + -7 -3 + 10y = (-2 + 2y) + -7 Reorder the terms: -3 + 10y = -2 + -7 + 2y Combine like terms: -2 + -7 = -9 -3 + 10y = -9 + 2y Solving -3 + 10y = -9 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -3 + 10y + -2y = -9 + 2y + -2y Combine like terms: 10y + -2y = 8y -3 + 8y = -9 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + 8y = -9 + 0 -3 + 8y = -9 Add '3' to each side of the equation. -3 + 3 + 8y = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 8y = -9 + 3 8y = -9 + 3 Combine like terms: -9 + 3 = -6 8y = -6 Divide each side by '8'. y = -0.75 Simplifying y = -0.75
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