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Simplifying 4(2y + -3) = 7(y + 5) Reorder the terms: 4(-3 + 2y) = 7(y + 5) (-3 * 4 + 2y * 4) = 7(y + 5) (-12 + 8y) = 7(y + 5) Reorder the terms: -12 + 8y = 7(5 + y) -12 + 8y = (5 * 7 + y * 7) -12 + 8y = (35 + 7y) Solving -12 + 8y = 35 + 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. -12 + 8y + -7y = 35 + 7y + -7y Combine like terms: 8y + -7y = 1y -12 + 1y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + 1y = 35 + 0 -12 + 1y = 35 Add '12' to each side of the equation. -12 + 12 + 1y = 35 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 35 + 12 1y = 35 + 12 Combine like terms: 35 + 12 = 47 1y = 47 Divide each side by '1'. y = 47 Simplifying y = 47
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