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Simplifying 8(4y + -7) = 3(5y + 4) Reorder the terms: 8(-7 + 4y) = 3(5y + 4) (-7 * 8 + 4y * 8) = 3(5y + 4) (-56 + 32y) = 3(5y + 4) Reorder the terms: -56 + 32y = 3(4 + 5y) -56 + 32y = (4 * 3 + 5y * 3) -56 + 32y = (12 + 15y) Solving -56 + 32y = 12 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -56 + 32y + -15y = 12 + 15y + -15y Combine like terms: 32y + -15y = 17y -56 + 17y = 12 + 15y + -15y Combine like terms: 15y + -15y = 0 -56 + 17y = 12 + 0 -56 + 17y = 12 Add '56' to each side of the equation. -56 + 56 + 17y = 12 + 56 Combine like terms: -56 + 56 = 0 0 + 17y = 12 + 56 17y = 12 + 56 Combine like terms: 12 + 56 = 68 17y = 68 Divide each side by '17'. y = 4 Simplifying y = 4
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