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Simplifying -2(-2y + 5) + -5y = 7(y + -3) + -7 Reorder the terms: -2(5 + -2y) + -5y = 7(y + -3) + -7 (5 * -2 + -2y * -2) + -5y = 7(y + -3) + -7 (-10 + 4y) + -5y = 7(y + -3) + -7 Combine like terms: 4y + -5y = -1y -10 + -1y = 7(y + -3) + -7 Reorder the terms: -10 + -1y = 7(-3 + y) + -7 -10 + -1y = (-3 * 7 + y * 7) + -7 -10 + -1y = (-21 + 7y) + -7 Reorder the terms: -10 + -1y = -21 + -7 + 7y Combine like terms: -21 + -7 = -28 -10 + -1y = -28 + 7y Solving -10 + -1y = -28 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -10 + -1y + -7y = -28 + 7y + -7y Combine like terms: -1y + -7y = -8y -10 + -8y = -28 + 7y + -7y Combine like terms: 7y + -7y = 0 -10 + -8y = -28 + 0 -10 + -8y = -28 Add '10' to each side of the equation. -10 + 10 + -8y = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = -28 + 10 -8y = -28 + 10 Combine like terms: -28 + 10 = -18 -8y = -18 Divide each side by '-8'. y = 2.25 Simplifying y = 2.25
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