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Simplifying 3(4y + -3) + -4 = 4(5y + -6) + 7 Reorder the terms: 3(-3 + 4y) + -4 = 4(5y + -6) + 7 (-3 * 3 + 4y * 3) + -4 = 4(5y + -6) + 7 (-9 + 12y) + -4 = 4(5y + -6) + 7 Reorder the terms: -9 + -4 + 12y = 4(5y + -6) + 7 Combine like terms: -9 + -4 = -13 -13 + 12y = 4(5y + -6) + 7 Reorder the terms: -13 + 12y = 4(-6 + 5y) + 7 -13 + 12y = (-6 * 4 + 5y * 4) + 7 -13 + 12y = (-24 + 20y) + 7 Reorder the terms: -13 + 12y = -24 + 7 + 20y Combine like terms: -24 + 7 = -17 -13 + 12y = -17 + 20y Solving -13 + 12y = -17 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -13 + 12y + -20y = -17 + 20y + -20y Combine like terms: 12y + -20y = -8y -13 + -8y = -17 + 20y + -20y Combine like terms: 20y + -20y = 0 -13 + -8y = -17 + 0 -13 + -8y = -17 Add '13' to each side of the equation. -13 + 13 + -8y = -17 + 13 Combine like terms: -13 + 13 = 0 0 + -8y = -17 + 13 -8y = -17 + 13 Combine like terms: -17 + 13 = -4 -8y = -4 Divide each side by '-8'. y = 0.5 Simplifying y = 0.5
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