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Simplifying 4(5y + -9) + -2(6 + -1y) = 62 Reorder the terms: 4(-9 + 5y) + -2(6 + -1y) = 62 (-9 * 4 + 5y * 4) + -2(6 + -1y) = 62 (-36 + 20y) + -2(6 + -1y) = 62 -36 + 20y + (6 * -2 + -1y * -2) = 62 -36 + 20y + (-12 + 2y) = 62 Reorder the terms: -36 + -12 + 20y + 2y = 62 Combine like terms: -36 + -12 = -48 -48 + 20y + 2y = 62 Combine like terms: 20y + 2y = 22y -48 + 22y = 62 Solving -48 + 22y = 62 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 22y = 62 + 48 Combine like terms: -48 + 48 = 0 0 + 22y = 62 + 48 22y = 62 + 48 Combine like terms: 62 + 48 = 110 22y = 110 Divide each side by '22'. y = 5 Simplifying y = 5
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