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Simplifying 5 + 3(y + -4) = 5(y + -2) + -1y Reorder the terms: 5 + 3(-4 + y) = 5(y + -2) + -1y 5 + (-4 * 3 + y * 3) = 5(y + -2) + -1y 5 + (-12 + 3y) = 5(y + -2) + -1y Combine like terms: 5 + -12 = -7 -7 + 3y = 5(y + -2) + -1y Reorder the terms: -7 + 3y = 5(-2 + y) + -1y -7 + 3y = (-2 * 5 + y * 5) + -1y -7 + 3y = (-10 + 5y) + -1y Combine like terms: 5y + -1y = 4y -7 + 3y = -10 + 4y Solving -7 + 3y = -10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -7 + 3y + -4y = -10 + 4y + -4y Combine like terms: 3y + -4y = -1y -7 + -1y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + -1y = -10 + 0 -7 + -1y = -10 Add '7' to each side of the equation. -7 + 7 + -1y = -10 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = -10 + 7 -1y = -10 + 7 Combine like terms: -10 + 7 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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