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Simplifying 3(y + -3) + -4 = 4(y + -7) Reorder the terms: 3(-3 + y) + -4 = 4(y + -7) (-3 * 3 + y * 3) + -4 = 4(y + -7) (-9 + 3y) + -4 = 4(y + -7) Reorder the terms: -9 + -4 + 3y = 4(y + -7) Combine like terms: -9 + -4 = -13 -13 + 3y = 4(y + -7) Reorder the terms: -13 + 3y = 4(-7 + y) -13 + 3y = (-7 * 4 + y * 4) -13 + 3y = (-28 + 4y) Solving -13 + 3y = -28 + 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. -13 + 3y + -4y = -28 + 4y + -4y Combine like terms: 3y + -4y = -1y -13 + -1y = -28 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + -1y = -28 + 0 -13 + -1y = -28 Add '13' to each side of the equation. -13 + 13 + -1y = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -1y = -28 + 13 -1y = -28 + 13 Combine like terms: -28 + 13 = -15 -1y = -15 Divide each side by '-1'. y = 15 Simplifying y = 15
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