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Simplifying 2y + 2(y + -4) = 7y + -5(-10) Reorder the terms: 2y + 2(-4 + y) = 7y + -5(-10) 2y + (-4 * 2 + y * 2) = 7y + -5(-10) 2y + (-8 + 2y) = 7y + -5(-10) Reorder the terms: -8 + 2y + 2y = 7y + -5(-10) Combine like terms: 2y + 2y = 4y -8 + 4y = 7y + -5(-10) Multiply -5 * -10 -8 + 4y = 7y + 50 Reorder the terms: -8 + 4y = 50 + 7y Solving -8 + 4y = 50 + 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. -8 + 4y + -7y = 50 + 7y + -7y Combine like terms: 4y + -7y = -3y -8 + -3y = 50 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + -3y = 50 + 0 -8 + -3y = 50 Add '8' to each side of the equation. -8 + 8 + -3y = 50 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 50 + 8 -3y = 50 + 8 Combine like terms: 50 + 8 = 58 -3y = 58 Divide each side by '-3'. y = -19.33333333 Simplifying y = -19.33333333
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