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Simplifying 2(y + -4) + 7(y + -3) = 7 Reorder the terms: 2(-4 + y) + 7(y + -3) = 7 (-4 * 2 + y * 2) + 7(y + -3) = 7 (-8 + 2y) + 7(y + -3) = 7 Reorder the terms: -8 + 2y + 7(-3 + y) = 7 -8 + 2y + (-3 * 7 + y * 7) = 7 -8 + 2y + (-21 + 7y) = 7 Reorder the terms: -8 + -21 + 2y + 7y = 7 Combine like terms: -8 + -21 = -29 -29 + 2y + 7y = 7 Combine like terms: 2y + 7y = 9y -29 + 9y = 7 Solving -29 + 9y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 9y = 7 + 29 Combine like terms: -29 + 29 = 0 0 + 9y = 7 + 29 9y = 7 + 29 Combine like terms: 7 + 29 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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